seen as exchangeable, with no conditioning variables considered – Division methods are based on statistical matters, not the subject matter as in conditioning-variable division – Results are often approximations » Approaches that ﬁt this paradigm – Coefﬁcient averaging – Subset likelihood modeling – Bag of little bootstraps – Consensus MCMC – Alternating direction method of multipliers (ADMM) Our Approach: BLB X1, . . . , Xn . . . . . . X⇤(1) 1 , . . . , X⇤(1) n X⇤(2) 1 , . . . , X⇤(2) n ˆ ✓⇤(1) n ˆ ✓⇤(2) n . . . . . . X⇤(1) 1 , . . . , X⇤(1) n X⇤(2) 1 , . . . , X⇤(2) n ˆ ✓⇤(1) n ˆ ✓⇤(2) n . . . ˇ X(1) 1 , . . . , ˇ X(1) b(n) avg(⇠⇤ 1 , . . . , ⇠⇤ s ) ˇ X(s) 1 , . . . , ˇ X(s) b(n) X⇤(r) 1 , . . . , X⇤(r) n X⇤(r) 1 , . . . , X⇤(r) n ˆ ✓⇤(r) n ˆ ✓⇤(r) n ⇠(ˆ ✓⇤(1) n , . . . , ˆ ✓⇤(r) n ) = ⇠⇤ 1 ⇠(ˆ ✓⇤(1) n , . . . , ˆ ✓⇤(r) n ) = ⇠⇤ s